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55254474900 = 22325261393861
BaseRepresentation
bin110011011101011011…
…000110000010010100
312021121210001011010100
4303131123012002110
51401130121144100
641214503054100
73664154200362
oct633533060224
9167553034110
1055254474900
112148478a899
12a860741330
135297549a81
142962514632
151685d16400
hexcdd6c6094

55254474900 has 54 divisors (see below), whose sum is σ = 173192084702. Its totient is φ = 14734526400.

The previous prime is 55254474889. The next prime is 55254474917. The reversal of 55254474900 is 947445255.

55254474900 is a `hidden beast` number, since 552 + 5 + 4 + 4 + 7 + 4 + 90 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 11749692816 + 43504782084 = 108396^2 + 208578^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 30696031 + ... + 30697830.

Almost surely, 255254474900 is an apocalyptic number.

55254474900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

55254474900 is an abundant number, since it is smaller than the sum of its proper divisors (117937609802).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

55254474900 is a wasteful number, since it uses less digits than its factorization.

55254474900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61393881 (or 61393871 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 55254474900 in words is "fifty-five billion, two hundred fifty-four million, four hundred seventy-four thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 61393861 122787722 184181583 245575444 306969305 368363166 552544749 613938610 736726332 920907915 1105089498 1227877220 1534846525 1841815830 2210178996 2762723745 3069693050 3683631660 4604539575 5525447490 6139386100 9209079150 11050894980 13813618725 18418158300 27627237450 55254474900